Finding the Third Proportional to 174,937 and 367,499

Step by Step Solution

1. Step 1: Write the proportion equation
   174,937 : 367,499 = 367,499 : x
2. Step 2: Convert to fraction form
   174,937/367,499 = 367,499/x
3. Step 3: Cross multiply
   174,937x = 367,499 × 367,499
4. Step 4: Simplify right side
   174,937x = 135,055,515,001
5. Step 5: Solve for x
   x = 135,055,515,001/174,937
6. Step 6: Final answer
   x = 772,023.73